Abstract
A queuing model is considered in which the management adopts a policy whereby the service counter will open if and only if at least a prescribed number, R + 1, of customers are available in each busy period. The additional waiting time for the first R customers causes the system to provide them with exceptional service composed of two stages. The other customers receive a possibly different service. All service times are assumed to follow general distributions, and customers arrive into the system according to a Poisson process where the parameter depends upon the class of states the system is in. Under these assumptions, partial generating functions for classes of state probabilities are derived, and expressions for the expected queue length, busy period, and waiting time are obtained. Further results are obtained in the special case where service times follow hyperexponential distributions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
